The generator matrix

 1  0  1  1  1  0  1  1  2  1  6  1  1  1  0  1  1  4  2  1  1  6  1  0  1  1  1  1  0  1  1  4  1  4  1  1  2  6  1  4  1  1  1  1  1  1  0  4  2  4  1  2  2  1
 0  1  1  0  3  1  2  3  1  6  1  5  0  3  1  4  7  1  1  6  1  1  5  1  2  6  6  0  1  3  7  1  0  1  1  4  1  1  0  1  5  3  0  5  0  1  1  4  6  1  2  6  4  0
 0  0  2  6  0  6  2  6  2  0  4  0  4  0  0  2  6  6  2  4  2  4  0  4  2  0  4  4  0  4  2  2  0  2  6  6  6  4  6  6  4  4  4  4  0  2  0  2  2  4  2  6  2  0
 0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  4  4  4  0  4  0  4  0  4  4  0  4  4  4  4  4  0  0  0  4  0  0  4  0  0  4  4  4  0  4  4  4  0  0  4  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  0  0  0  0  4  4  4  4  0  4  4  0  0  4  0  4  0  4  4  4  4  4  4  0  0  0  4  4  0  4  0  4  0  0  0  4  4  0  4  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  4  0  4  4  4  4  0  0  4  4  0  4  0  0  4  4  0  0  0  0  4  0  0  4  4  0  0  0  4  0  0  0  4  4  0  4  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  4  4  4  4  0  4  0  4  0  4  0  0  4  4  4  0  0  4  0  0  4  0  4  0  0  4  0  0  4  0  4  4  0  0  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  4  0  4  4  0  4  4  0  0  4  0  4  0  4  0  4  4  0  0  4  4  0  4  4  4  0  4  4  0  0  4  4  0  4  0  0  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  4  4  4  0  0  4  0  0  0  0  4  0  4  4  4  4  0  0  0  0  4  0  4  4  4  4  4  4  4  4  4  4  0  4  4  4

generates a code of length 54 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+85x^44+76x^45+211x^46+328x^47+463x^48+702x^49+1052x^50+1200x^51+1491x^52+1764x^53+1700x^54+1836x^55+1444x^56+1240x^57+910x^58+636x^59+535x^60+304x^61+183x^62+92x^63+66x^64+10x^65+28x^66+4x^67+9x^68+10x^70+2x^72+2x^74

The gray image is a code over GF(2) with n=216, k=14 and d=88.
This code was found by Heurico 1.16 in 9.37 seconds.